The foundations of mathematics
Stewart, Ian
The foundations of mathematics Ian Stewart and David Tall. - 2nd ed. - United Kingdom : Oxford University Press, ©2015. - xvi, 391 p. : ill. ; 25 cm.
Includes bibliographical references (pages 383-385) and index.
Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part III. The development of axiomatic systems -- 8. Natural numbers and proof by induction -- 9. Real numbers -- 10. Real numbers as a complete ordered field -- 11. Complex numbers and beyond -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.
9780198706434
2014946122
Logic, Symbolic and mathematical.
QA9 / .S755 2015
511.3 / STE-F
The foundations of mathematics Ian Stewart and David Tall. - 2nd ed. - United Kingdom : Oxford University Press, ©2015. - xvi, 391 p. : ill. ; 25 cm.
Includes bibliographical references (pages 383-385) and index.
Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part III. The development of axiomatic systems -- 8. Natural numbers and proof by induction -- 9. Real numbers -- 10. Real numbers as a complete ordered field -- 11. Complex numbers and beyond -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.
9780198706434
2014946122
Logic, Symbolic and mathematical.
QA9 / .S755 2015
511.3 / STE-F